Question

Question 5(ii)
Express each of the following as product of powers of their prime factors:
(ii) 405

Answer 1

(ii) 405

Firstly, we find out the factors of given number

$$\begin{array}{cc}5& 405\\ 3& 81\\ 3& 27\\ 3& 9\\ 3& 3\\ & 1\end{array}$$

So,

405 = $5\times 3\times 3\times 3\times 3$

$\therefore$ $405=5\times 3^4$